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28189000 = 235374027
BaseRepresentation
bin110101110001…
…0000101001000
31222001011001001
41223202011020
524204022000
62444104344
7461413450
oct153420510
958034031
1028189000
1114a038a4
1295350b4
135abc8a8
143a5ad60
15271c46a
hex1ae2148

28189000 has 64 divisors (see below), whose sum is σ = 75404160. Its totient is φ = 9662400.

The previous prime is 28188997. The next prime is 28189003. The reversal of 28189000 is 98182.

It is an interprime number because it is at equal distance from previous prime (28188997) and next prime (28189003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 28189000.

It is not an unprimeable number, because it can be changed into a prime (28189003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987 + ... + 9013.

It is an arithmetic number, because the mean of its divisors is an integer number (1178190).

Almost surely, 228189000 is an apocalyptic number.

28189000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37702080).

28189000 is an abundant number, since it is smaller than the sum of its proper divisors (47215160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28189000 is a wasteful number, since it uses less digits than its factorization.

28189000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 28189000 is about 5309.3314080023. The cubic root of 28189000 is about 304.3405981720.

The spelling of 28189000 in words is "twenty-eight million, one hundred eighty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4027 7000 8054 16108 20135 28189 32216 40270 56378 80540 100675 112756 140945 161080 201350 225512 281890 402700 503375 563780 704725 805400 1006750 1127560 1409450 2013500 2818900 3523625 4027000 5637800 7047250 14094500 28189000